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Construct pushdown automata that accept each of the following. a. The language generated by the grammar G = (V,Sigma,R,S), where V = {S,(,),[,]}, Sigma =

Construct pushdown automata that accept each of the following.

a. The language generated by the grammar G = (V,Sigma,R,S), where V = {S,(,),[,]}, Sigma = {(,),[,]}, R = {S->e, S->SS, S->S}, S->(S)}.

b. The language {a^m b^n : m <= n <= 2m}.

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